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1332211320 = 2333511112139
BaseRepresentation
bin100111101100111…
…1110111001111000
310102211210100101000
41033121332321320
510212021230240
6340105525000
745004416006
oct11731767170
93384710330
101332211320
11623aa90a0
123121a3760
1318300562b
14c8d07a76
157be54430
hex4f67ee78

1332211320 has 128 divisors (see below), whose sum is σ = 4844448000. Its totient is φ = 322957440.

The previous prime is 1332211303. The next prime is 1332211333. The reversal of 1332211320 is 231122331.

1332211320 is a `hidden beast` number, since 1 + 332 + 2 + 11 + 320 = 666.

It is a super-2 number, since 2×13322113202 = 3549574002272284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1332211293 and 1332211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44190 + ... + 67949.

It is an arithmetic number, because the mean of its divisors is an integer number (37847250).

Almost surely, 21332211320 is an apocalyptic number.

1332211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332211320 is an abundant number, since it is smaller than the sum of its proper divisors (3512236680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1332211320 is a wasteful number, since it uses less digits than its factorization.

1332211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112170 (or 112160 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1332211320 is about 36499.4701331403. The cubic root of 1332211320 is about 1100.3335957902. Note that the first 3 decimals are identical.

Adding to 1332211320 its reverse (231122331), we get a palindrome (1563333651).

It can be divided in two parts, 13322 and 11320, that added together give a palindrome (24642).

The spelling of 1332211320 in words is "one billion, three hundred thirty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 112139 224278 336417 448556 560695 672834 897112 1009251 1121390 1233529 1345668 1682085 2018502 2242780 2467058 2691336 3027753 3364170 3700587 4037004 4485560 4934116 5046255 6055506 6167645 6728340 7401174 8074008 9868232 10092510 11101761 12111012 12335290 13456680 14802348 15138765 18502935 20185020 22203522 24222024 24670580 29604696 30277530 33305283 37005870 40370040 44407044 49341160 55508805 60555060 66610566 74011740 88814088 111017610 121110120 133221132 148023480 166526415 222035220 266442264 333052830 444070440 666105660 1332211320